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3 years ago

A square living room in a home has an area of 110.25 square feet.

Mathematics

1 answer:

Usimov [2.4K]3 years ago

7 0

Answer:

a = 10.5 feet

Step-by-step explanation:

Given that,

The area of a square room, A = 110.25 ft²

We need to find the side length of the living room. Let the side be x.

We know that,

The area of a square, $A=a^2$

So,

$a=\sqrt{110.25} \\\\a=10.5\ ft$

So, the side length of the living room is equal to 10.5 feet.

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The graph of 2x – 3y = 21 crosses the y-axis at what point?

kifflom [539]

2x-21=3y divide by 3. 2/3x-7=y. So at 7 it crosses

8 0

3 years ago

Please help me with # 3

sladkih [1.3K]

Answer:

The exterior angles need to equal 360 degrees.

You have 70 + 65 + 75 = 210

So 2x + 3x need to equal 360 - 210 = 150

5x = 150

x = 150 /5 = 30

2x = 2 *30 = 60

3x = x *30 = 90

An interior angle and an exterior angle need to equal 180 degrees.

The largest interior angle would need to correspond with the smallest exterior angle.

The smallest exterior angle is 2x which equals 60 degrees.

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4 0

3 years ago

GEOMETRY! PLEASE SHOW YOUR WORK. (updated picture)

Orlov [11]

Given:

The base of the given triangle has two part:

Left( left side of the hypotenuse) = 25

Right ( right side of the hypotenuse) = x

The altitude (h) = 60

To find the value of x.

Formula:

By Altitude rule we know that, the altitude of a triangle is mean proportional between the right and left part of the hypotenuse,

$\frac{left}{altitude} =\frac{altitude}{right}$

Now,

Putting,

left = 25, altitude = 60 and right = x we get,

$\frac{25}{60} =\frac{60}{x}$

or, $(25)(x )=(60)(60)$ [ by cross multiplication]

or, $x = \frac{3600}{25}$

or, $x = 144$

Hence,

The value of x is 144.

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3 years ago

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STatiana [176]

Answer:

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2 years ago

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For the function f(x) = 7/2x-16, what is the difference quotient for all nonzero values of h?

sergey [27]

Answer:

$\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}$

Step-by-step explanation:

Given

$f(x) = \frac{7}{2}x - 16$

Required

The difference quotient for h

The difference quotient is calculated as:

$\frac{f(x + h) - f(x)}{ h}$

Calculate f(x + h)

$f(x) = \frac{7}{2}x - 16$

$f(x+h) = \frac{7}{2}(x+h) - 16$

$f(x+h) = \frac{7}{2}x+ \frac{7}{2}h- 16$

The numerator of $\frac{f(x + h) - f(x)}{ h}$ is:

$f(x + h) - f(x) = \frac{7}{2}x+ \frac{7}{2}h- 16 -(\frac{7}{2}x - 16)$

$f(x + h) - f(x) = \frac{7}{2}x+ \frac{7}{2}h- 16 -\frac{7}{2}x + 16$

Collect like terms

$f(x + h) - f(x) = \frac{7}{2}x -\frac{7}{2}x + \frac{7}{2}h- 16 + 16$

$f(x + h) - f(x) = \frac{7}{2}h$

So, we have:

$\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}h \div h$

Rewrite as:

$\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}h * \frac{1}{h}$

$\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}$

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3 years ago